WorksheetsAlgebraic Expressions
Total questions: 247
Worksheet time: 8hrs 4mins
Simplify the expression: 3x + 2y - 5x + 4y
-5x + 6y
-2x + 6y
x + 2y
2x - 3y
Solve for x: 2x + 5 = 17
x = 10
x = 8
x = 15
x = 6
Factorize the expression: x^2 + 5x + 6
(x + 4)(x + 2)
(x + 5)(x + 1)
(x + 1)(x + 6)
(x + 2)(x + 3)
Find the value of y: 3y - 7 = 8
y = 3
y = 5
y = -2
y = 10
Expand the expression: (2x + 3)(x - 4)
2x^2 + 5x - 12
2x^2 + 5x + 12
2x^2 - 5x + 12
2x^2 - 5x - 12
Solve for x: 4(x - 3) = 20
x = 5
x = 12
x = 10
x = 8
Simplify the expression: 2(3x - 4) - 5(2x + 1)
-4x - 13
-6x - 13
-4x - 9
-2x - 13
Find the value of x: 2x/3 = 8
6
10
12
14
Factorize the expression: x^2 - 9
(x + 1)(x - 9)
(x + 2)(x - 4)
(x + 3)(x - 3)
(x - 2)(x + 4)
Solve for y: 4y/5 = 16
y = 22
y = 20
y = 15
y = 18
draw apple

An algebraic expression that contains only one term is called
Monomial
Binomial
Trinomial
None of the above
5x + 6y is a
Monomial
Binomial
Trinomial
None of the above
The algebraic expression 3x+2y+6 is a
Monomial
Binomial
Trinomial
None of the above
A polynomial contains _______ number of terms:
One
Two
Three
Any
In which of the following, the two expressions are like terms?
7x, 9x
7x, 7x2
7x, 7xy
If we add 7xy+5yz–3zx 4yz+9zx–4y and
and –3xz+5x–2xy then the answer is:
5xy+9yz+3zx+5x–4y
5xy–9yz+3zx–5x–4y
5xy+10yz+3zx+15x–4y
5xy+10yz+3zx+5x–6y
If we subtract 4a–7ab+3b+12 from 12a–9ab+5b–3 then the answer is:
8a+2ab+2b−15
8a−2ab+2b−15
8a−2ab−2b−15
If we multiply 5x and (−4xyz) then we get:
−20x2yz
x2yz
−2xyz
The product of 4x and 0 is
4x
4
0
None of the above
The volume of a rectangle with length, breadth and height as 5x, 3x2 and 7x4 respectively is:
105x7
105x2
105x4
105x
4 + m
Evaluate the expression 4(x - 5) + 7 when x = 9
16
23
28
32
Evaluate the expression 2(x - 5) + 7 when x = 7
11
4
12
14
Evaluate the expression 4(x + 7) + 7 when x = 2
43
36
53
33
Evaluate the expression 4(y - 12) when y = 20
36
28
32
40
Evaluate the expression 3(x - 7) when x = 9
8
5
7
6
Evaluate the expression 11(v + 2) when v = 8
99
100
110
111
Evaluate the expression 12(u - 4) when u = 11
80
84
88
77
Evaluate the expression b2 + 8b when b = 4
45
46
47
48
Evaluate the expression 5(c + 12) when c = 9
75
50
100
105
Evaluate the expression r3 + 2r when r = 3
27
33
30
37
Evaluate p3 at p = 2.
(a)
Evaluate xy−5 at x=5,y=2 .
(a)
Evaluate r+s2 at r=4 and s=1 .
(a)
Evaluate dc2 at c=6, and d=3 .
(a)
Evaluate 2gh at g=3 and h=4 .
(a)
Evaluate 3a−b at a=9 and b=6 .
(a)
Evaluate xy − z at x = 4, y = 5, and z = 7 .
(a)
Evaluate a5 − b2 at a = 2 and b = 3 .
(a)
Evaluate zxy at x = 4, y = 6, z = 3 .
(a)
Evaluate zx2y at x = 3, y = 2, z = 6 .
(a)
if a = 10 and b = 6
Evaluate b2 + 4
b = 3
3(x + 4)
when x = 2
10
24
18
12
6(2x + 3)
when x = 4
108
51
24
66
21 + 7x
when x = 2
30
27
50
35
9(5h - 2)
when h = 2
92
48
68
72
6y + 30
when y = 5
30
60
71
82
10g + 8g + 2
when g = 10
182
190
1820
500
8+ 12 ÷ a when a = 4
5
23 = 8
42 = 16
What is the standard form to this problem? 62
12
36
4
62
How would you write 34 in expanded notation?
3 + 3 + 3 + 3
3 x 3 +3 + 3
three to the fourth power
3 x 3 x 3 x 3
How would you say 26 in word form?
Six to the second power
Two and six
Two to the sixth power
64
5x³ - 7x + 11
5x³ - 7x + 11
5x³ - 7x + 11
18x⁷ + 4x³ - 11x² + 9
2x³ - 7 + 11x⁸ - 4x⁵
R = 5x + 10y
0.50x - 20
42+15÷3
Which operation do you need to solve first?
Addition
Division
Exponent
25
What is the correct equation to solve this problem?
2 x 5
2 x 2 x 2 x 2 x 2
Solve: 2 × 33+10
28
54
64
16
62 −92÷4
What is the order of operations for solving this problem?
Subtract, Divide, Exponent
Exponent, Subtract, Divide
Exponent, Divide, Subtract
Solve: 42+7×2
46
22
30
13
Solve: 70÷5−23
6
8
27
14
Solve: 33÷9+2
3
20
5
11
Solve: 22+6×4−18
64
28
94
392
Solve: 23+4×1+15
54
83
60
42
Solve: 10×8+52÷4
93
150
25
125
Which algebraic expression best matches the phrase: "The product of x and 16"
x + 16
16x
x - 16
14x
Which algebraic expression best matches the phrase:
"12 more than triple x"
12 + 3x
3x + 12
12 ( 3+x)
12 + 3 + x
Which algebraic expression best matches the verbal phrase?
"10 minus n"
10n
10 - n
10 - n + n + n
n - 10
Which algebraic expression best matches the verbal phrase?
"2 less than a number"
b - 2
2-b
b ⋅ b
b + 2
Which algebraic expression best matches the phrase: "The difference of a number, c and six"
6c
c - 6
c + 6
c6
Which algebraic expression best matches the phrase: "Three less than the product of four and a number"
3 - 4 + w
3 - 4w
34w
4w - 3
Which algebraic expression best matches the phrase: "n increased by 5"
n + 5
5 - n
5n
5n
Which expressions shows one half of x? Select all that apply.
21x
2 ÷ x
2x
x2
x÷2
Which algebraic expression best matches the verbal phrase?
" The quotient of c and 16"
c −16
16c
c16
16c
Which algebraic expression best matches the verbal phrase?
"Double a number n"
2 +n
2n
n÷2
n+2
Choose two. 2x
2 plus x
The product of 2 and x
two times x
x and two more
Five less than y
5 - y
5 + y
y/5
y - 5
The difference between t and 6
t + 6
6 + t
t - 6
6t
three times x increased by eight
3x
3x + 8
3y + 8
x + 8
10 subtracted by a number, b
10 - b
b - 10
b
b + 10
twice a number t, squared
2t
t2
2x
2t2
3y Choose two matching statements
three times y
three plus y
the product of three and y
three divided by y
2f - 4
f minus 4
4 minus f
minus 4
four less than twice a number, f
3y3/7
three times a number
three times a number, y, cubed divided by 7
y cubed
seven
r + 10 Choose two
a number, r, increased by 10
r and ten more
r minus 10
the difference of r and 10
The quotient of 12 and x
x
12
12x
12/x
a number, y, to the power of 4
4y
y4
4
4x
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
8 − 4m
8m − 4
8m + 4
4m − 8
Translate: two times the sum of a number and five
2 + y + 5
2y + 5
2(y + 5)
2 − y + 5
m plus the product of 6 and n
m + 6n
m − 6 + n
6m + n
m + 6 + n
Three less than twice a number
2x − 3
3x − 2
3 − 2x
2 − 3x
The difference of a number and 7
7 − x
x + 7
x/7
x − 7
Eight less than the sum of a and 3.
8−(a+3)
(a+3)−8
(a−3)−8
3a−8
Five less than y
5 - y
5 + y
y/5
y - 5
10 subtracted by a number, b
10 - b
b - 10
b
b + 10
Translate to an algebraic expression.
76 decreased by x
76 - x
x - 76
76x
76 + x
Translate to an algebraic expression.
6 minus the quotient of u and 2
6 - (u ÷ 2)
6 - 2u
6 ÷ u + 2
6 - (2 ÷ u)
Translate to an algebraic expression.
m plus the product of 6 and n
m + 6n
m - 6n
m(6n)
6mn
Translate to an algebraic expression.
twice the sum of 70 and m
2(m + 70)
2⋅70 + m
2(70 - m)
70 + m ⋅ 2
Translate to an algebraic expression.
125 subtracted from a number
125 - n
n - 125
Translate to an algebraic expression.
The difference of 30 and n
n - 30
30 - n
30 + n
n ÷ 30
Translate to an algebraic expression.
5 less than the quotient of 7 and s
(7 ÷ s) - 5
5 - (7 ÷ s)
7(s - 5)
5 - 7s
The sum of n and 5
(a)
The product of n and nine
(a)
a number increased by eighteen
18n
n+18
18-n
the quotient of a number and 4
4n
n - 4
n + 4
4n
the product of x and sixteen
x + 16
x - 16
16x
16x
Translate to an algebraic expression.
76 decreased by x
76 - x
x - 76
76x
76 + x
Translate to an algebraic expression.
5 less than the product of 3 and p
3p - 5
5 - 3p
5 < 3p
3p + 5
Translate to an algebraic expression.
125 subtracted from a number
125 - n
n - 125
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
8 − 4m
8m − 4
8m + 4
4m − 8
Choose two. 2x
2 plus x
The product of 2 and x
two times x
x and two more
Five less than y
5 - y
5 + y
5y
y - 5
The difference between t and 6
t + 6
6 - t
t - 6
6 + t
6t
three times x increased by eight
3x
3x + 8
3y + 8
x + 8
a number, y, to the power of 4
4y
y4
4
4x
Which words are "switch" words
to
by
of
from
than
Choose the algebraic expression that represents
"One-fourth of a number"
4n
n4
4n
n + 4
Choose the algebraic expression that represents
"Four dollars cheaper than two times price n"
4 - 2n
2 (n - 4)
2n - 4
2n + 4
Choose the algebraic expression that represents
"The difference of a number and four"
n + 4
4 - n
n - 4
n4
Choose the algebraic expression that represents
"The product of four and a number"
4 + n
4n
4 - n
n4
Choose the algebraic expression that represents
"The quotient of four and a number"
4 + n
4n
4 - n
n4
Choose the algebraic expression that represents
"Two times the difference of a number and four"
2n - 4
2 (n - 4)
2 (4 - n)
2(n4)
Choose the algebraic expression that represents
"Four times a number"
4n
n4
4n
n×n×n×n
Choose the algebraic expression that represents
"Twice the sum of a number and four"
2n + 4
2 (n + 4)
2 (4 - n)
2 + 4n
Choose the algebraic expression that represents
"Four less a number"
4 - n
n - 4
n4
4 < n
Choose the algebraic expression that represents
"Four more a number"
4n
n + 4
n4
4 > n
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
three times a number plus 16
The algebraic expression 6p−5 can be written in words as:
5 more than the product of 6 and a number
the product of 6 and a number, minus 5
the difference of 5 and 6 times a number
the product of 6, and a number decreased by 5
The algebraic expression 2k+8 can be written in words as:
8 more than twice a number
the quotient of 2 and a number, increased by 8
the difference of half a number and 8
8 more than half a number
The algebraic expression 2(3−x) can be written in words as:
twice the difference of 3 and a number
two times a number less than 3
twice the difference of a number and 3
two times of 3 less than a number
